Answer:
Only statements A & C are true.
Explanation:
Solving this problem entails of substituting the values provided in each option into the given equation, in order to determine which are true. Take a look at how each is solved.
Option One
- Substitute the values given into the equation
Given: y = 2,182; x = 240
y = 9x + 22
2,182 = 9(240) + 22
- Multiply the term inside the parentheses by the term outside the parentheses
2,182 = 9(240) + 22
2,182 = 2,160 + 22
- Combine the terms on the right side of the equation
2,182 = 2,160 + 22
2,182 = 2,182
- Determine if the simplified equation is true
2,182 = 2,182 true
Option Two
- Substitute the values given into the equation
Given: y = 2,527; x = 280
y = 9x + 22
2,527 = 9(280) + 22
- Multiply the term inside the parentheses by the term outside the parentheses
2,527 = 9(280) + 22
2,527 = 2,520 + 22
- Combine the terms on the right side of the equation
2,527 = 2,520 + 22
2,527 = 2,542
- Determine if the simplified equation is true
2,527 = 2,542 not true
Option Three
- Substitute the values given into the equation
Given: y = 3,838; x = 424
y = 9x + 22
3,838 = 9(424) + 22
- Multiply the term inside the parentheses by the term outside the parentheses
3,838 = 9(424) + 22
3,838 = 3,816 + 22
- Combine the terms on the right side of the equation
3,838 = 3,816 + 22
3,838 = 3,838
- Determine if the simplified equation is true
3,838 = 3,838 true
Option Four
- Substitute the values given into the equation
Given: y = 4,322; x = 480
y = 9x + 22
4,322 = 9(480) + 22
- Multiply the terms inside the parentheses by the term outside the parentheses
4,322 = 9(480) + 22
4,322 = 4,320 + 22
- Combine the terms on the right side of the equation
4,322 = 4,320 + 22
4,322 = 4,342
- Determine if the simplified equation is true
4,322 = 4,342 not true
Option Five
- Substitute the values given into the equation
Given: y = 4,980; x = 552
y = 9x + 22
4,980 = 9(552) + 22
- Multiply the terms inside the parentheses by the term outside the parentheses
4,980 = 9(552) + 22
4,980 = 4,968 + 22
- Combine the terms on the right side of the equation
4,980 = 4,968 + 22
4,980 = 4,990
- Determine if the simplified equation is true
4,980 = 4,980 not true
This proves that only options 1 & 5 are correct.